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2 years ago

What is the value of p so that the line passing through (6, 2) and (10, p) has a slope of -2?

Mathematics

1 answer:

solmaris [256]2 years ago

6 0

Answer:

P = -6

Step-by-step explanation:

y2-y1 / x2-x1 = slope formula

p-2/10-6 =

p-2 over 4

P would be -6 since -6-2 = -8, and -8/4 = -2

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The terminal velocity of a person falling through air is about 100Km/hr. The acceleration due to gravity is 10ms−2. Use this inf

Aleonysh [2.5K]

The question here is how long does it take for a falling person to reach the 90% of this terminal velocity. The computation is:

The terminal velocity vt fulfills v'=0. Therefore vt=g/c, and so c=g/vt = 10/(100*1000/3600) = 36,000/100,000... /s. Incorporating the differential equation shows that the time needed to reach velocity v is

t= ln [g / (g-c*v)] / c.

With v=.9 vt =.9 g/c,

t = ln [10] /c = 6.4 sec.

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3 years ago

The lengths of a rectangle have been measured to the nearest tenth of a centimetre they are 87.3cm and 51.8cm what is the upper

vagabundo [1.1K]

Answer: Area (upper bound) = 4527.7056 cm²

Perimeter (lower bound) = 278 cm

Step-by-step explanation:

The length and width of the rectangle have been ROUNDED to the nearest tenth. Let's calculate what their actual measurements could be:

LENGTH: rounded to 87.3, actual is between 87.25 and 87.34

87.25 is the lowest number it could be that would round it UP to 87.3

87.34 is the highest number it could be that would round DOWN to 87.3

WIDTH: rounded to 51.8, actual is between 51.75 and 51.84

51.75 is the lowest number it could be that would round it UP to 51.8

51.84 is the highest number it could be that would round DOWN to 51.8

To find the Area of the upper bound, multiply the highest possible length and the highest possible width:

A = 87.34 × 51.84 = 4527.7056

To find the Perimeter of the lower bound, calculate the perimeter using the lowest possible length and the lowest possible width:

P = 2(87.25 + 51.75) = 278

8 0

3 years ago

Read 2 more answers

The measure of an angle is 24°. What is the measure of its supplementary angle?

umka21 [38]

Answer:

156 degree

Step-by-step explanation:

supplementary angle add up to 180 degree

180 - 24

= 156

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2 years ago

What fraction of a gallon is 3 pints?

mash [69]

1 gallon is equal to 8 pints
3/8 is 3 pints out of a gallon

5 0

3 years ago

Write the equation of the line in point-slope form that passes through (5, -1) and has a slope of 2/3

kolezko [41]

Answer:

y-(-1)=2/3(x-5)

Step-by-step explanation:

Point slope form is

y-y_1=m(x-x_1) where m is the slope, x_1 is the x coordinate of a point that the line passes through, and y_1 is the y coordinate of a point the line passes through.

Substituting, we get

y-(-1)=2/3(x-5)

5 0

3 years ago